Solve 2xsquared equals 3x plus 35?

Answer 1

2x2 = 3x + 35

2x2 - 3x - 35 = 0

Now our equation is in the form expected to use with the quadratic equation:

(-b +/- sqrt(b2 - 4ac)) / 2a

When we plug in our values:

(-(-3) +/- sqrt((-3)2 - 4(2)(-35))) / 2(2)

= ((3) +/- sqrt(9 - 4(-70))) / (4)

= ((3) +/- sqrt(9 - (-280))) / (4)

= ((3) +/- sqrt(9 + (280))) / (4)

= ((3) +/- sqrt(289)) / (4)

= ((3) +/- sqrt(289)) / (4)

= ((3) +/- 17) / (4)

= (20) / (4), (-14) / (4)

x = 5, -3.5